214144324029 has 24 divisors (see below), whose sum is σ = 315613908792. Its totient is φ = 139876024320.

The previous prime is 214144323977. The next prime is 214144324033. The reversal of 214144324029 is 920423441412.

214144324029 is a `hidden beast` number, since 214 + 1 + 4 + 4 + 32 + 402 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3050021529 + 211094302500 = 55227^2 + 459450^2 .

It is not a de Polignac number, because 214144324029 - 2⁷ = 214144323901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214144323984 and 214144324002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214144324129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617784 + ... + 899969.

It is an arithmetic number, because the mean of its divisors is an integer number (13150579533).

Almost surely, 2^214144324029 is an apocalyptic number.

It is an amenable number.

214144324029 is a deficient number, since it is larger than the sum of its proper divisors (101469584763).

214144324029 is a wasteful number, since it uses less digits than its factorization.

214144324029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518077 (or 1518074 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 214144324029 in words is "two hundred fourteen billion, one hundred forty-four million, three hundred twenty-four thousand, twenty-nine".